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E=(-a-b+c+d)-(d+c-b-2a)
E=-a-b+c+d-d-c+b+2a
E=-a+(-)b+c+d+(-d)+(-c)+b+2a
E=-a+(-b)+c+d+(-d)+(-c)+b+2a
E=(2a-a)+(-b+b)+(-d+d)+(-c+c)=a+0+0+0=a
a) Ta có: -a - b - b = -a - b + c
Vậy: (-a-b+c) - (-a-b-c) = (-a-b+c) - (-a-b+c) = (-a-b+c) : 2
b) (-1-1+-2) : 2 = (-2+-2) : 2 = (-4) : 2 = -2
a)
\(A=\left(-a-b+c\right)-\left(-a-b-c\right)\)
\(A=-a-b+c-\left(-a\right)+b+c\)
\(A=-a+\left(-b\right)+c+a+b+c\)
\(A=\left[\left(-a\right)+a\right]+\left[\left(-b\right)+b\right]+\left(c+c\right)\)
\(A=0+0+2c\)
\(A=2c\)
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b)
Cách 1 : \(A=\left(-1-\left(-1\right)+\left(-2\right)\right)-\left(1-\left(-1\right)-\left(-2\right)\right)\)
\(A=-1-\left(-1\right)+\left(-2\right)-\left(-1\right)+\left(-1\right)+\left(-2\right)\)
\(A=-1+1+\left(-2\right)+1+\left(-1\right)+\left(-2\right)\)
\(A=\left[\left(-1\right)+1+1+\left(-1\right)\right]+\left[\left(-2\right)+\left(-2\right)\right]\)
\(A=0+\left(-4\right)=\left(-4\right)\)
Cách 2 : Từ ý a suy ra :
\(A=\left(-2\right)\cdot2=\left(-4\right)\)
\(A=\left(a+b\right)-\left(a-b\right)+\left(a-c\right)-\left(a+c\right)\)
\(\Leftrightarrow A=a+b-a+b+a-c-a-c\)
\(\Leftrightarrow A=\left(a-a+a-a\right)+\left(b+b\right)-\left(c+c\right)\)
\(\Leftrightarrow A=0+2b-2c\)
\(\Leftrightarrow A=2b-2c\)
\(\Leftrightarrow A=2\left(b-c\right)\)
a) (a+b)-(a-b)+(a-c)-(a+c)
= a + b - a + b - a + c - a - c
= ( a - a ) + ( b + b ) + ( -a-a) + ( c - c )
= 0 + 2b + (-2a )+ 0
= 2b + (-2a)
b) (a+b-c)+(a-b+c)-(b+c-a)-(a-b-c)
= a + b - c + a - b + c - b - c + a - a + b + c
= ( a - a ) + ( b - b ) + ( -c + c ) + ( a + a ) + ( - b + b ) + ( -c+c)
= 0 + 0 + 0 + 2a + 0 + 0
= 2a
Nhớ k cho mk nha
a) (3a-2b+c)-(2a+b)-(c-a)
= 3a - 2b + c - 2a - b - c + a
= 3a - 2b - b + c - c - 2a + a
= 3a - (2b + b) + (c - c) - (2a - a)
= 3a - 3b + 0 - a
= 3a - a - 3b
= 2a - 3b
b) (a-b)-(b+c)-(c+a)
= a - b - b - c - c - a
= a - a - b - b - c - c
= ( a - a) - ( b + b) - ( c + c)
= 0 - 2b - 2c
b) (a-b)-(b+c)-(c+a)
= a - b - b - c -c - a
= (a - a ) - ( b + b ) - ( c + c )
= 0 - 2b - 2c
= -2b - 2c
= -(2b + 2c)
= -2(b+c)
a) -a - (b - c - c)
= 2c - a - b
b) - (a-b+c) - (a+b+c)
= -2a - 2c
c) - a - (b+c)
= -a - b - c
d) -a.(b-a-c)
= a2 - ab + ac
e) (a+b) - (a-b) + (a-c) - (a+c)
= 2b - 2c
f) (a+b-c) + (a-b+c) - (b+c-a) - (a-b-c)
= 2a